MATH 141 - PRECALCULUS

(FALL 2023)

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I don’t do much with Canvas, but a student discussion board and a NetTutor link are there.

 

https://sdccd.instructure.com/login/canvas

 

Notes on using the Canvas site:

Math 141 Canvas notes

 

ALEKS Extra Credit

(This review can especially help with the very difficult Chapter 0.)

YOU CAN PAY FOR AN ALEKS LICENSE. 

http://www.aleks.com

I CAN SEND YOU A CLASS CODE.  Email me

GETTING STARTED:

ALEKS: Getting Started (.pdf)

Orientation Quick Tips (.pdf)

Orientation PowerPoint (.ppt)

Registration - No Code

 

Printing Suggestions for Typed Files

I recommend two-page-to-a-side and/or double-sided printing to save paper. Color printing is nice, but B&W printing is cheaper.

These are pdf files. You can get the free Adobe Reader at http://www.adobe.com. Get a version that is compatible with your system!

 

Syllabus (Fall 2023):

Syllabus for Fall 2023

 

Homework Assignments

Instructions

#1-A: HW   Answers   (Ch.0 in my notes) (90 points)

#1-B: HW   Answers   (Ch.1) (60 points)

#2: HW   Answers   (Chs.2 and 3) (150 points)

#3: HW   Answers   (Ch.4) (150 points)

#4: HW   Answers   (Chs.5 and 6) (150 points)

#5: HW   Answers   (Chs.7-10) (250 points)

PolarGraphPaper (Ch.10; created using Mathematica with Microsoft Word)

 

Class Notes

Many students benefit from printing the notes for a lecture beforehand, reviewing them, and commenting on them in class.

You may want to take personalized sketch notes in class.

Creative Commons License: For attribution, simply mention my name and/or web URL somewhere if you are using huge chunks of the notes. I simply want due credit.

 

NOTES FOR QUIZZES 1A AND 1B

Notes for Quiz 1A and Quiz 1B (last revised 1/27/13)

Chapter 0: Preliminary Topics: (last revised 1/27/13)

NEW!! QUADRATIC FORMULA SONG! (SECTION 0.11):

            https://www.youtube.com/watch?v=IfpkQVyqK7c

Chapter 1: Functions

CORRECTION to 1.2.3! In the middle of page 1.2.3, -9 (instead of 9) is not in the domain of f.

MATH DANCES FOR GRAPHING!

http://9gag.com/gag/4419992/do-the-math-dance

(correction: x^2 + y^2 = r^2)

http://www.seyedrezabazyar.com/fa/math-dances/

https://www.reddit.com/r/geek/comments/444shr/dancing_mathematician/

(see the dance!)

(The following notes will be revised for later semesters. Section and page references may be inconsistent with the new Chapters 0 and 1. Please Email me with comments/suggestions.)

NOTES FOR MIDTERM 2

Notes for Midterm 2

Chapter 2: Polynomial and Rational Functions

Chapter 3: Exponential and Logarithmic Functions

GOODIES FOR PART 2

CARD SHARKS AND (NEARLY) EXPONENTIAL GROWTH:  https://www.youtube.com/watch?v=Fb7mN5MObLE&list=PL5K97sZrlm86aVXIGEMqPhdDcGCyRFk5j&index=2&t=7s

NOTES FOR MIDTERM 3

Notes for Midterm 3

Chapter 4: Trigonometry

Basic Trig IDs (handout in class): Basic Trig IDs (revised from 5.1 notes: 3/8/18)

VISUALIZING THE SIX BASIC TRIG FUNCTIONS:

http://www.kkuniyuk.com/TrigSixParts.pdf (revised 2/11/06)

http://imgur.com/oSq3D5j?r

NOTES FOR MIDTERM 4

GOODIES FOR PART 4

Notes for Midterm 4

Chapter 5: Analytic Trigonometry

More Trig IDs (handout in class): Handout.

Chapter 6: Additional Topics in Trigonometry

KHAN ACADEMY ON EULER FORMULA. (Do you have emotion?)

https://www.youtube.com/watch?v=mgNtPOgFje0

NOTES FOR FINAL

GOODIES FOR PART 5

Notes for Final

Chapter 7: Systems of Equations and Inequalities

Chapter 8: Matrices and Determinants

Chapter 9: Discrete Math

SECTION 9.4: KHAN ACADEMY ON INDUCTION: https://www.khanacademy.org/math/algebra-home/alg-series-and-induction/alg-induction/v/proof-by-induction

SECTION 9.5: VIDEOS AND PASCAL’S TRIANGLE MAGIC: CLICK ON Notes for Final

Chapter 10: Conics and Polar Coordinates [as time permits] (Ch.10 is partly handwritten.)

ANIMATION ON CONICS:

https://www.youtube.com/watch?v=HO2zAU3Eppo

Corrections: (0:48-1:07) The double-nappe cone (or simply cone here should not be thought of as finite, so there are no bases nd there is no base perimeter. The term directrix is used elsewhere, especially when describing parabolas.

In previous semesters, the final was cumulative. For your information, here was the outline provided: Math141OldFinalOutline.pdf

 

Old Exams and Solutions (Spring 2023)

Quiz 1A   Solutions (1 hour and 15 minutes)

Chapter 0: Preliminary Topics

Quiz 1B   Solutions (50 minutes)

Chapter 1: Functions

Midterm #2   Solutions (1 hour for Part 1; 1 hour and 10 minutes for Part 2)

Chapter 2: Polynomial and Rational Functions

Chapter 3: Exponential and Logarithmic Functions

Midterm #3   Solutions (40 minutes for Part 1; 1 hour and 30 minutes for Part 2); see below

Chapter 4: Trigonometry

Midterm #4   Solutions (50 minutes for Part 1; 1 hour and 20 minutes for Part 2)

Chapter 5: Analytic Trigonometry

Chapter 6: Additional Topics in Trigonometry

Final   Solutions (2 hours and 20 minutes). Material covered in later terms may differ.

Chapter 7: Systems of Equations [and Inequalities]  (Sections 7.5, 7.6 not on Final.)

Chapter 8: Matrices and Determinants  (Sections 8.3, 8.5 not on Final.)

Chapter 9: Discrete Math

Chapter 10: Conics and Polar Coordinates

Current Exams and Solutions (Fall 2023)

Quiz 1A   Solutions (1 hour and 15 minutes)

Chapter 0: Preliminary Topics

Quiz 1B   Solutions (50 minutes)

Chapter 1: Functions

Midterm #2   Solutions (1 hour for Part 1; 1 hour and 10 minutes for Part 2)

Chapter 2: Polynomial and Rational Functions

Chapter 3: Exponential and Logarithmic Functions

Midterm #3   Solutions (40 minutes for Part 1; 1 hour and 30 minutes for Part 2); see below

Chapter 4: Trigonometry

Midterm #4   Solutions (50 minutes for Part 1; 1 hour and 20 minutes for Part 2)

Chapter 5: Analytic Trigonometry

Chapter 6: Additional Topics in Trigonometry

• Exams and solutions will be posted around the time they are graded.

Class Resources

WEB SITES, BOOKS, RESOURCES

TEST-TAKING TIPS; REDUCING TEST ANXIETY: Test.html   Test.pdf (pdf file)

FREE ONLINE BOOK (OPENSTAX PRECALCULUS): https://openstax.org/details/precalculus

 

FREE ONLINE BOOK (PRECALCULUS DEMYSTIFIED): http://libraryproxy.sdmesa.edu/login?url=http://search.ebscohost.com/login.aspx?direct=true&db=nlebk&AN=138326&site=ehost-live

FREE MATH AND SCIENCE WORKSHOPS!  http://www.sdmesa.edu/STEMworkshops

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